Finding the Fourth Proportional to 477,676,179,785.08, 716,614,899,926.84 and 154,953,794,216.07
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Solution
The fourth proportional to 477,676,179,785.08, 716,614,899,926.84 and 154,953,794,216.07 is: 232,463,334,858.76
Step by Step Solution
- Step 1: Write the proportion equation
477,676,179,785.08 : 716,614,899,926.84 = 154,953,794,216.07 : x - Step 2: Convert to fraction form
477,676,179,785.08/716,614,899,926.84 = 154,953,794,216.07/x - Step 3: Cross multiply
477,676,179,785.08x = 716,614,899,926.84 × 154,953,794,216.07 - Step 4: Simplify right side
477,676,179,785.08x = 111,042,197,735,433,163,505,664 - Step 5: Solve for x
x = 111,042,197,735,433,163,505,664/477,676,179,785.08 - Step 6: Final answer
x = 232,463,334,858.76
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.